consider this right triangle.
enter the ratio equivalent to $\tan(l)$.
$\tan(l) = \square$

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Trigonometric Ratios", "Pythagorean Theorem" ], "current_concepts": [ "Trigonometric Ratios", "Pythagorean Theorem", "Right Triangle Trigonometry" ] } ## Find the length of the adjacent side LM $$ \begin{aligned} LM^2 + MN^2 &= LN^2 \ LM^2 + 5^2 &= 13^2 \ LM^2 + 25 &= 169 \ LM^2 &= 144 \ LM &= 12 \end{aligned} $$ ## Calculate the tangent ratio of angle L $$ \begin{aligned} \tan(L) &= \frac{\text{Opposite}}{\text{Adjacent}} \ \tan(L) &= \frac{MN}{LM} \ \tan(L) &= \frac{5}{12} \end{aligned} $$ Consider this right triangle. Enter the ratio equivalent to $\tan(L)$. $\tan(L) =$ $\frac{5}{12}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Right Triangle Trigonometry" ] }

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Explanation:

Find the length of the adjacent side LM

Calculate the tangent ratio of angle L

Answer: